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Finding the Third Proportional to 100,209 and 149,827

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Solution

The third proportional to 100,209 and 149,827 is: 224,013.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,209 : 149,827 = 149,827 : x
  2. Step 2: Convert to fraction form
    100,209/149,827 = 149,827/x
  3. Step 3: Cross multiply
    100,209x = 149,827 × 149,827
  4. Step 4: Simplify right side
    100,209x = 22,448,129,929
  5. Step 5: Solve for x
    x = 22,448,129,929/100,209
  6. Step 6: Final answer
    x = 224,013.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.